11711040 has 112 divisors (see below), whose sum is σ = 40599360. Its totient is φ = 2836480.

The previous prime is 11711033. The next prime is 11711053. The reversal of 11711040 is 4011711.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10006 + ... + 11114.

Almost surely, 2^11711040 is an apocalyptic number.

11711040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299680).

11711040 is an abundant number, since it is smaller than the sum of its proper divisors (28888320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11711040 is a wasteful number, since it uses less digits than its factorization.

11711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 11711040 is about 3422.1396815443. The cubic root of 11711040 is about 227.0902498431.

Adding to 11711040 its reverse (4011711), we get a palindrome (15722751).

It can be divided in two parts, 1171 and 1040, that added together give a triangular number (2211 = T₆₆).

The spelling of 11711040 in words is "eleven million, seven hundred eleven thousand, forty".